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Finding the Fourth Proportional to 918.37, 1,266.89 and 581.71

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Solution

The fourth proportional to 918.37, 1,266.89 and 581.71 is: 802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.37 : 1,266.89 = 581.71 : x
  2. Step 2: Convert to fraction form
    918.37/1,266.89 = 581.71/x
  3. Step 3: Cross multiply
    918.37x = 1,266.89 × 581.71
  4. Step 4: Simplify right side
    918.37x = 736,953.34
  5. Step 5: Solve for x
    x = 736,953.34/918.37
  6. Step 6: Final answer
    x = 802.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.